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Finding the Fourth Proportional to 14,407.50, 21,614.90 and 4,019.26

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Solution

The fourth proportional to 14,407.50, 21,614.90 and 4,019.26 is: 6,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.50 : 21,614.90 = 4,019.26 : x
  2. Step 2: Convert to fraction form
    14,407.50/21,614.90 = 4,019.26/x
  3. Step 3: Cross multiply
    14,407.50x = 21,614.90 × 4,019.26
  4. Step 4: Simplify right side
    14,407.50x = 86,875,902.97
  5. Step 5: Solve for x
    x = 86,875,902.97/14,407.50
  6. Step 6: Final answer
    x = 6,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.